Approximations to Some Generalized Functions; Application to Array Processing.

Abstract

Approximations to some generalized functions generated by the process of differentiation are developed and used to interpret some integrals involving generalized functions. Application to the realization of the ideal voltage response pattern of an array is made and illustrated for both an impulsive and a smooth approximation to the required generalized weighting function.

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Document Details

Document Type
Technical Report
Publication Date
Jul 19, 1982
Accession Number
ADA120170

Entities

People

  • Albert H. Nuttall

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Acoustic Signals
  • Acquisition
  • Applied Mathematics
  • Asymptotic Series
  • Bessel Functions
  • Delta Functions
  • Engineering
  • Fourier Analysis
  • Integrals
  • Mathematics
  • New York
  • Rhode Island
  • Signal Processing
  • Step Functions
  • Test And Evaluation
  • Universities
  • Weighting Functions

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Phased Array Antenna Design.